4(1)+12(x+3)-6(x-5)=4(12)+4(x)​

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

4(1) + 12(x + 3) - 6(x - 5) = 4(12) + 4(x)

Step 2: Solve for x

Simplify:                                                                                                             4 + 12(x + 3) - 6(x - 5) = 48 + 4x[Distributive Property] Distribute parenthesis:                                               4 + 12x + 36 - 6x + 30 = 48 + 4xCombine like terms:                                                                                         6x + 70 = 48 + 4x[Subtraction Property of Equality] Subtract 4x on both sides:                      2x + 70 = 48[Subtraction Property of Equality] Subtract 70 on both sides:                      2x = -22[Division Property of Equality] Divide 2 on both sides:                                  x = -11

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